FE analysis of geometrically nonlinear static problems with follower loads

Imre Kozák; Frigges Nándori; Tamás Szabó

Imre Kozák University of Miskolc
Frigges Nándori University of Miskolc
Tamás Szabó University of Miskolc

Abstract

We have considered a linearly elastic body loaded by tractions inward normal to the instantaneous surface. Due to the increment of the surface element vector there is a contribution to the tangent stiffness matrix referred to as load correction stiffness matrix. The goal of the numerical experiments is to determine the bifurcation point on the fundamental equilibrium path. Linear eigenvalue problems with follower loads are also analysed.

Keywords

follower loads, finite element method, limit of elastic stability, eigenvalue problem,

References

[l] J.H. Argyris, K. Straub, Sp. Symeonidis. Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation . Part II. Dynamic problems. Comput. Meths. Appl. Mech. Engng. , 8: 241- 258, 1981.
[2] J.H. Argyris, K. Straub, Sp. Symeonidis. Static and dynamic stability of nonlinear systems under nonconservative forces - natural approach. Comput. Meths. Appl. Mech. Engng. , 32: 59- 83, 1982.
[3] J.H. Argyris, Sp. Symeonidis. Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. Part I. Quasistatic problems. Comput. Meths . Appl. Mech. Engng., 26: 75- 124, 1981.
[4] J.H. Argyris, Sp. Symeonidis. A sequel to: Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. Part I. Quasistatic problems. Comput. Meths. Appl. Mech. Engng., 26: 377- 383, 1981.
[5] V.V. Bolotin. Noneonservative Problems of the Theory of Elastic Stability. Pergamon, New York, 1963.

FE analysis of geometrically nonlinear static problems with follower loads

Abstract

Keywords

References

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